Can I read The non-existence of universal Carmichael numbers on EtoBox?

The non-existence of universal Carmichael numbers by Schlage-Puchta, Jan-Christoph is a scholarly article available to read on EtoBox.

What is The non-existence of universal Carmichael numbers about?

We show that universal elliptic Carmichael numbers do not exist, answering a question of Silverman. Moreover, we show that the probability that an integer $n$, which is not a prime power, is an elliptic Carmichael number for a random curve $E$ with good reduction modulo $n$, is bounded above by $\mathcal{O}(\log^{-1} n)$. If we choose both $n$ and $E$ at random, the probability that $n$ is $E$-carmichael is bounded above by $\mathcal{O}(n^{-1/8+\epsilon})$.

Author

Schlage-Puchta, Jan-Christoph

Published

2019

Language

EN